No problem. Then again, your bunny just might be a bunny that won't get stressed out- you never know. Just like how some cats hate car ride and some love them. You could test out a car ride (but dont go to pet store) and see how Oslo handles it. If Oslo gets too stressed out, then trips are a no-go.

Take a picture of the cage and post it, if you want to, and us bunny people can tell you if it would be a good one for Oslo.